03456nam a22005535i 4500 978-3-031-47250-3 DE-He213 20251030110849.0 cr nn 008mamaa 231207s2024 sz | s |||| 0|eng d 9783031472503 978-3-031-47250-3 10.1007/978-3-031-47250-3 doi T55.4-60.8 TGP bicssc TEC009060 bisacsh TGP thema Jeronen, Juha. author. aut http://id.loc.gov/vocabulary/relators/aut 68029 Fundamental Mathematical Modeling of Additive Manufacturing [electronic resource] / by Juha Jeronen, Tero Tuovinen, Matti Kurki. 1st ed. 2024. Cham : Springer Nature Switzerland : Imprint: Springer, 2024. X, 520 p. 72 illus., 56 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Springer Tracts in Additive Manufacturing, 2730-9584 Introduction -- Kinematics of industrial processes -- Fundamental balance laws for a moving continuum -- Constitutive equations -- Fluids versus solids -- Process model for L-PBF 3D printing of metals -- Analytical solution in one dimension -- Temperature-dependent 1D models, with analytical techniques and their limitations -- Numerical solution in two dimensions. This book elucidates the fundamental thermomechanical behaviour inherent in the 3D printing process within a laser-based powder bed fusion (L-PBF) system. It presents foundational concepts and provides in-depth derivations of the governing equations. The analysis encompasses arbitrary anisotropic linear viscoelastic materials, accounting for thermal effects. The authors leverage the theory of axially moving materials, a framework previously employed in the analysis of production processes within the process industry. They introduce a coordinate frame that moves in tandem with the printing laser, adopting an Eulerian perspective towards the in-motion solid. Designed for graduate students and researchers, this book is poised to foster a profound comprehension and spur innovative technological advancements in the realm of additive manufacturing. Industrial engineering. Production engineering. Mathematics Data processing. 65715 Industrial and Production Engineering. Computational Mathematics and Numerical Analysis. 66073 Tuovinen, Tero. author. (orcid)0000-0001-7787-3836 https://orcid.org/0000-0001-7787-3836 aut http://id.loc.gov/vocabulary/relators/aut 68030 Kurki, Matti. author. aut http://id.loc.gov/vocabulary/relators/aut 68031 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031472497 Printed edition: 9783031472510 Printed edition: 9783031472527 Springer Tracts in Additive Manufacturing, 2730-9584 65997 https://doi.org/10.1007/978-3-031-47250-3 ZDB-2-ENG ZDB-2-SXE 56762 56762